An Upwind Finite Element Scheme for the Navier-Stokes Equations and its Domain Decomposition Algorithm
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| File | |
| Title ( eng ) |
An Upwind Finite Element Scheme for the Navier-Stokes Equations and its Domain Decomposition Algorithm
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| Title ( jpn ) |
ナヴィエ・ストークス方程式のある風上型有限要素スキームとその領域分割型アルゴリズム
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| Creator |
Fujima Shoichi
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| Descriptions |
General Introduction / p1
1 Mixed Finite Element Method for the Navier-Stokes Equations / p5 1.1 Introduction / p5 1.2 Variational principle and the finite element method / p6 1.3 Standard mixed finite element method for the Navier-Stokes equations with iso-P2 P1/P1 elements / p10 1.4 Consistent discretized pressure Poisson equation / p15 1.5 Decomposition into sub-tetrahedra / p17 1.6 Conclusion / p20 2 Upwind Finite Element Scheme Based on the Choice of Up-and Down-wind Points / p21 2.1 Introduction / p21 2.2 Upwind finite element approximation based on the choice of up-and down-wind points / p23 2.3 Search algorithm for the upwind points / p27 2.4 Finite element scheme based on the choice of up-and downwind points for the Navier-Stokes equations / p34 2.5 Stability regions with respect to α and т / p35 2.6 Numerical results / p40 2.7 Conclusion / p57 3 Domain Decomposition Algorithm / p58 3.1 Introduction / p58 3.2 Two data types for data on the nodal points / p60 3.3 Mortar element method / p66 3.4 Domain decomposition algorithm for the upwind finite element scheme / p73 3.5 Conclusion / p84 General Conclusion / p85 Bibliography / p88 |
| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | doctoral thesis |
| Rights |
Copyright(c) by Author
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| Publish Type | Not Applicable (or Unknown) |
| Access Rights | open access |
| Source Identifier |
(1) Masahisa TABATA and Shoichi FUJIMA (田端正久, 藤間昌一), Finite-element analysis of high-Reynolds number flows past a circular cylinder (円柱を過ぎる高レイノルズ数流れの有限要素解析), Joumal of Computational and Applied Mathematics, Vol.38, pp.411-424, 1991.
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(2) Shoichi FUJIMA, Masahisa TABATA and Yasuji FUKASAWA (藤間昌一, 田端正久, 深澤寧司), Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points (風上風下点選択に基づく風上型有限要素スキームの3次元問題への拡張), Computer Methods in Applied Mechanics and Engineering, Vol.112, pp.109-131, 1994.
references
(3) Shoichi FUJIMA (藤間昌一), Implementation of a mortar element method for flow problems in the primitive variables (原始変数形の流れ問題へのモルタル要素法の実装), Intemational Journal of Computational Fluid Dynamics, Vol.9, pp.209-219, 1998.
references
[DOI] http://dx.doi.org/10.1016/0377-0427(91)90186-N
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[DOI] http://dx.doi.org/10.1016/0045-7825(94)90021-3
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[DOI] http://dx.doi.org/10.1080/10618569808940853
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| Dissertation Number | 乙第2946号 |
| Degree Name | |
| Date of Granted | 1997-03-05 |
| Degree Grantors |
広島大学
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